Atkin-Lehner |
2- 3- 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
8190bn |
Isogeny class |
Conductor |
8190 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
4826093157268110000 = 24 · 322 · 54 · 7 · 133 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 4 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-11841827,15687302451] |
[a1,a2,a3,a4,a6] |
j |
251913989442882736925929/6620155222590000 |
j-invariant |
L |
3.6173630122234 |
L(r)(E,1)/r! |
Ω |
0.22608518826396 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65520ei4 2730a3 40950bs4 57330ek4 |
Quadratic twists by: -4 -3 5 -7 |